Pardon for the crash, right after their engagement, and I heard she's a KKG, my first thought was of the book A Southern Belle Primer: Why Princess Margaret (Paris Hilton 2nd edition) Will Never Be a Kappa Kappa Gamma.

I could be wrong, but the last I heard, Kappa had one of the less-inclusive legacy policies. I'll bow to the Kappas about it, however.

I'm not a Kappa, but I looked at their website to find what their policy is - I also looked up the polices of the sororities of all the women in my family which includes Kappa. Per your comment, Kappa actually does not have a particularly restrictive policy, however, that is true of Chi Omega.